Horseshoe periodic orbits with one symmetry in the general planar three-body problem

DOI10.3934/dcds.2013.33.987zbMath1263.70018OpenAlexW2330531944MaRDI QIDQ1946334

Abimael Bengochea, Ernesto Pérez-Chavela, Manuel J. Falconi

Publication date: 19 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.987

zbMATH Keywords

periodic orbitsgeneral three-body problemhorseshoe orbits

Mathematics Subject Classification ID

Three-body problems (70F07) Simulation of dynamical systems (37M05) Celestial mechanics (70F15) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (4)

On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits ⋮ Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. II: An asymptotic formula ⋮ Families of symmetric exchange orbits in the planar \((1+2n)\)-body problem ⋮ Exchange orbits in the planar \(1+4\) body problem

This page was built for publication: Horseshoe periodic orbits with one symmetry in the general planar three-body problem